Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions

Abstract

We demonstrate Floquet engineering in a basic yet scalable 2D architecture of individually trapped and controlled ions. Local parametric modulations of detuned trapping potentials steer the strength of long-range inter-ion couplings and the related Peierls phase of the motional state. In our proof-of-principle, we initialize large coherent states and tune modulation parameters to control trajectories, directions and interferences of the phonon flow. Our findings open a new pathway for future Floquet-based trapped-ion quantum simulators targeting correlated topological phenomena and dynamical gauge fields.

11 pages, 5 figures

References in corpus (32)

• Topological Photonics
• Quantum Simulation
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Atomic quantum gases in periodically driven optical lattices
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Effective quantum spin systems with ion traps
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• Tunable gauge potential for neutral and spinless particles in driven lattices
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Coupled quantized mechanical oscillators
• Fast quantum logic gates with trapped-ion qubits
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Suppression of Heating Rates in Cryogenic Surface-Electrode Ion Traps
• Reduction of anomalous heating in an in-situ-cleaned ion trap
• Trapped-ion antennae for the transmission of quantum information
• Measuring quantized circular dichroism in ultracold topological matter
• Synthetic Gauge Fields for Vibrational Excitations of Trapped ions
• Topological quantum fluctuations and travelling wave amplifiers
• Controlling and measuring quantum transport of heat in trapped-ion crystals
• Optimal Surface-Electrode Trap Lattices for Quantum Simulation with Trapped Ions
• Tunable spin-spin interactions and entanglement of ions in separate wells
• Topological Amplification in Photonic Lattices
• Near ground-state cooling of two-dimensional trapped-ion crystals with more than 100 ions
• Active Stabilization of Ion Trap Radiofrequency Potentials
• Arbitrary Waveform Generator for Quantum Information Processing with Trapped Ions
• Photon-Assisted-Tunneling Toolbox for Quantum Simulations in Ion Traps
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Interference in a Prototype of a two-dimensional Ion Trap Array Quantum Simulator
• Topological Transitions for Lattice Bosons in a Magnetic Field
• Motional-Mode Analysis of Trapped Ions

Cited by in corpus (30)

• Simulating Lattice Gauge Theories within Quantum Technologies
• A Site-Resolved 2D Quantum Simulator with Hundreds of Trapped Ions
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Topological input-output theory for directional amplification
• Suppressing dissipation in a Floquet-Hubbard system
• Two-dimensional linear trap array for quantum information processing
• Doubly Modulated Optical Lattice Clock Interference and Topology
• Chiral current circulation and $\mathcal{P}\mathcal{T}$ symmetry in a trimer of oscillators
• Blockade of phonon hopping in trapped ions in the presence of multiple local phonons
• Continuously parametrized quantum simulation of molecular electron transfer reactions
• Mass-selective removal of ions from Paul traps using parametric excitation
• ${\mathbb{Z}}_n$ solitons in intertwined topological phases
• Driven-dissipative topological phases in parametric resonator arrays
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Dynamical transitions in aperiodically kicked tight-binding models
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• High-Fidelity Transport of Trapped-Ion Qubits in a Multi-Layer Array
• Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Floquet States
• Counterdiabatic Driving with Performance Guarantees
• Floquet Engineering of Lie Algebraic Quantum Systems
• Coherent control of a local phonon in trapped ions using dynamical decoupling
• Non-reciprocal population dynamics in a quantum trimer
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Floquet control of interactions and edge states in a programmable quantum simulator
• Observing the dynamics of octupolar structural transitions in trapped-ion clusters
• Quantum Control of Heat Current
• Floquet thermalization by power-law induced permutation symmetry breaking
• Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures